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Geometry and Topology Seminar

Friday, February 14, 2020
3:00pm to 5:00pm
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Linde Hall 187
Decomposing sutured Instanton Floer homology
Zhenkun Li, Department of Mathematics, MIT,

Sutured Instanton Floer homology was introduced by Kronheimer and Mrowka. Though it has many important applications to the study of 3-dimensional topology, many basic aspects of the theory remain undeveloped. In this talk I will explain how to decompose sutured Instanton Floer homology with respect to properly embedded surfaces inside the sutured manifold, and present some applications of this decomposition to the development of the theory: performing some computations, bounding the depth of taut sutured manifolds, detecting the Thurston norm on link complements, and constructing some invariants for knots and links.

For more information, please contact Math Department by phone at 626-395-4335 or by email at mathinfo@caltech.edu.